Milnor Group

The Milnor group is a mathematical concept used in knot theory to analyze how multiple loops or strings are intertwined. It focuses on understanding the relationships between the loops by considering their ways of linking and twisting. Specifically, it captures detailed information about how the loops are arranged, taking into account certain transformations called conjugations. This helps mathematicians classify and distinguish complex links that may look similar but have different underlying structures. Overall, the Milnor group provides a powerful algebraic tool to study and describe the intricate behavior of linked or knotted objects in three-dimensional space.